.1(x+40)-0.03(x+10)=6.4

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Solution for .1(x+40)-0.03(x+10)=6.4 equation: 


Simplifying
0.1(x + 40) + -0.03(x + 10) = 6.4

Reorder the terms:
0.1(40 + x) + -0.03(x + 10) = 6.4
(40 * 0.1 + x * 0.1) + -0.03(x + 10) = 6.4
(4 + 0.1x) + -0.03(x + 10) = 6.4

Reorder the terms:
4 + 0.1x + -0.03(10 + x) = 6.4
4 + 0.1x + (10 * -0.03 + x * -0.03) = 6.4
4 + 0.1x + (-0.3 + -0.03x) = 6.4

Reorder the terms:
4 + -0.3 + 0.1x + -0.03x = 6.4

Combine like terms: 4 + -0.3 = 3.7
3.7 + 0.1x + -0.03x = 6.4

Combine like terms: 0.1x + -0.03x = 0.07x
3.7 + 0.07x = 6.4

Solving
3.7 + 0.07x = 6.4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.7' to each side of the equation.
3.7 + -3.7 + 0.07x = 6.4 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + 0.07x = 6.4 + -3.7
0.07x = 6.4 + -3.7

Combine like terms: 6.4 + -3.7 = 2.7
0.07x = 2.7

Divide each side by '0.07'.
x = 38.57142857

Simplifying
x = 38.57142857

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